$L^p$ Willmore functionals
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Abstract:
We prove some integral inequalities for immersed tori in the three sphere. The functionals considered are generalizations of the Willmore functional.References
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Additional Information
- Mingliang Cai
- Affiliation: Department of Mathematics and Computer Science, University of Miami, Coral Gables, Florida 33124
- Email: mcai@math.miami.edu
- Received by editor(s): January 30, 1997
- Received by editor(s) in revised form: May 19, 1997
- Communicated by: Christopher Croke
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 569-575
- MSC (1991): Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-99-04484-6
- MathSciNet review: 1458864